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34022451414440 = 2357377479150383
BaseRepresentation
bin1111011110001011110000…
…01000011000010110101000
311110110111220010200111002102
413233011320020120112220
513424410440030230230
6200205410504552532
710111020030311156
oct757057010302650
9143414803614072
1034022451414440
11a927927950695
123995942182748
1315ca3c37603a8
148589a43b63d6
153e0006d30045
hex1ef1782185a8

34022451414440 has 64 divisors (see below), whose sum is σ = 77600670451200. Its totient is φ = 13422293678592.

The previous prime is 34022451414431. The next prime is 34022451414449. The reversal of 34022451414440 is 4441415422043.

It is an interprime number because it is at equal distance from previous prime (34022451414431) and next prime (34022451414449).

It is a junction number, because it is equal to n+sod(n) for n = 34022451414394 and 34022451414403.

It is not an unprimeable number, because it can be changed into a prime (34022451414449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226163489 + ... + 226313871.

It is an arithmetic number, because the mean of its divisors is an integer number (1212510475800).

Almost surely, 234022451414440 is an apocalyptic number.

It is an amenable number.

34022451414440 is an abundant number, since it is smaller than the sum of its proper divisors (43578219036760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34022451414440 is a wasteful number, since it uses less digits than its factorization.

34022451414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227946 (or 227942 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 34022451414440 its reverse (4441415422043), we get a palindrome (38463866836483).

The spelling of 34022451414440 in words is "thirty-four trillion, twenty-two billion, four hundred fifty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 77479 150383 154958 300766 309916 387395 601532 619832 751915 774790 1203064 1503830 1549580 3007660 3099160 5655967 6015320 10977959 11311934 21955918 22623868 28279835 43911836 45247736 54889795 56559670 87823672 109779590 113119340 219559180 226238680 439118360 11651524457 23303048914 46606097828 58257622285 93212195656 116515244570 233030489140 466060978280 850561285361 1701122570722 3402245141444 4252806426805 6804490282888 8505612853610 17011225707220 34022451414440